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Re: Twenty-five adults reported the amount of time each spent st [#permalink]
16 May 2013, 19:37

1

This post receivedKUDOS

1. To find the least possible mean the sum of all hours exercised must be the minimum.For 0-1 hours lets assume all 5 exercised the minimum possible of just over 0 hours and same for all bars.so SUM of hours exercised = 0*5 + 1*3+2*2+3*3+4*4+5*5+0+0+8*1+0+10*0 = 78# respondents = 25average = 78/25 = 3.12

2. # respondents who exercised on average <0.5 hours per dayIf Avg hours exercised = 0.5 hours per day the Total hours exercised during the week will be 0.5*7 OR 3.5 hours/weekWe need to count respondents who exercise below 3.5 hours per week.That will include all in 0-1 hour, 1-2 hr, 2-3 hour and since 3.5 lies in between 3-4 band, we can take 2 cases: CAse 1: where we assume all 4 in 3-4 years exercise MORE than 3.5 hoursTotal # respondednts in that case = 5 + 3 + 2 + 4 = 14 (this is the maximum)CAse 2: where we assume all 4 in 3-4 years exercise LESS than 3.5 hoursTotal # respondednts in that case = 5 + 3 + 2 = 10 (this is the minimum)Range od 10-14 respondents

Re: Twenty-five adults reported the amount of time each spent st [#permalink]
03 May 2014, 07:03

1

This post wasBOOKMARKED

srcc25anu wrote:

1. To find the least possible mean the sum of all hours exercised must be the minimum.For 0-1 hours lets assume all 5 exercised the minimum possible of just over 0 hours and same for all bars.so SUM of hours exercised = 0*5 + 1*3+2*2+3*3+4*4+5*5+0+0+8*1+0+10*0 = 78# respondents = 25average = 78/25 = 3.12

2. # respondents who exercised on average <0.5 hours per dayIf Avg hours exercised = 0.5 hours per day the Total hours exercised during the week will be 0.5*7 OR 3.5 hours/weekWe need to count respondents who exercise below 3.5 hours per week.That will include all in 0-1 hour, 1-2 hr, 2-3 hour and since 3.5 lies in between 3-4 band, we can take 2 cases: CAse 1: where we assume all 4 in 3-4 years exercise MORE than 3.5 hoursTotal # respondednts in that case = 5 + 3 + 2 + 4 = 14 (this is the maximum)CAse 2: where we assume all 4 in 3-4 years exercise LESS than 3.5 hoursTotal # respondednts in that case = 5 + 3 + 2 = 10 (this is the minimum)Range od 10-14 respondents

Thanks for the explanation! I fully understand the solution, but it took me almost 4 minutes to do it. Anyone know of a faster way to solve this question?